Mathematical Research Letters

Volume 5 (1998)

Number 4

Supersimple fields and division rings

Pages: 473 – 483



A. Pillay (UIUC)

T. Scanlon (University of California at Berkeley)

F. O. Wagner (Maths. Institute, Oxford)


It is proved that any supersimple field has trivial Brauer group, and more generally that any supersimple division ring is commutative. As prerequisites we prove several results about generic types in groups and fields whose theory is simple.

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